A Friend Is Casually Talking with You About Physics Concepts

A friend is casually talking with you about physics concepts and brings up the following claim. They say that average speed for a trip is total distance divided by total time, which is true. Then they say that if the trip consists of a person traveling at two different speeds for two different times then you can get the average speed by just finding the average speeds for the two parts of the trip and then take their average. Is their claim true? Please explain.